8742367536 has 200 divisors, whose sum is σ = 27207972864. Its totient is φ = 2416256640.

The previous prime is 8742367523. The next prime is 8742367549. The reversal of 8742367536 is 6357632478.

It is an interprime number because it is at equal distance from previous prime (8742367523) and next prime (8742367549).

It is a super-2 number, since 2×8742367536² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3571465 + ... + 3573911.

Almost surely, 2^8742367536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8742367536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603986432).

8742367536 is an abundant number, since it is smaller than the sum of its proper divisors (18465605328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8742367536 is a wasteful number, since it uses less digits than its factorization.

8742367536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2490 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The square root of 8742367536 is about 93500.6285326468. The cubic root of 8742367536 is about 2060.0433220537.

It can be divided in two parts, 8742 and 367536, that added together give a triangular number (376278 = T₈₆₇).

The spelling of 8742367536 in words is "eight billion, seven hundred forty-two million, three hundred sixty-seven thousand, five hundred thirty-six".